Abstract
A two-dimensional second-order positivity-preserving finite volume upwind scheme is developed for a semi-coupled algorithm involving the air and droplet flow fields in the Eulerian frame in which shares the grid for each phase. Special emphasizes are placed on the computational modeling, which is induced from a strongly coupled algorithm, that satisfies the strict hyperbolicity and its numerical scheme based on the HLLC solver preserving the positivity to handle multiphase flow in the Eulerian frame, respectively. The proposed modeling associated with the semi-coupled algorithm including the Navier-Stokes and droplet equations takes into account different boundary conditions on the solid surface for each phase. The verification and validation studies show that the new scheme can solve the air and droplet flow fields in fairly good agreement with the exact analytical solutions and experimental data. In particular, it accurately predicted the maximum value of the droplet impingement intensity near the stagnation region and the droplet impingement area.
Highlights
In the atmosphere, an in-flight aircraft icing occurs when supercooled water droplets freeze on impact with any part of the external structure of an aircraft during flight in icing conditions, such as a cloud (Lynch and Khodadoust 2001)
Much attention was paid to the mathematical descriptions of semi-coupled algorithm and preservation of density positivity in the numerical scheme, as well as the verification and validation study of the scheme
From the previous study (Jung and Myong 2013), the positivity-preserving property was achieved by the splitting of the original mathematical system into the well-posed hyperbolic part and the source term and applying the positivity-preserving Harten-Lax-van Leer-Contact (HLLC) approximate Riemann solver to the semi-coupled algorithm
Summary
An in-flight aircraft icing occurs when supercooled water droplets freeze on impact with any part of the external structure of an aircraft during flight in icing conditions, such as a cloud (Lynch and Khodadoust 2001). A Computational Modeling for Semi-Coupled Multiphase Flow in Atmospheric Icing Conditions 353 not satisfy the hyperbolic conservation law This means that the well-known numerical methods based on the well-posed strictly hyperbolic system such as the approximate Riemann solver may not be applicable, and the special schemes based on the kinetic approximation (Bouchut et al 2003) are required. In the present semi-coupled algorithm of Eq (3), the strict hyperbolic conservation law is not satisfied due to a lack of distinctive eigen systems It means that the well-posed numerical schemes based on the approximated Riemann solvers may not be applied to the equations.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
